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There is classical description of cohomology ring of projective bundle. Is there an analog in quantum cohomology?

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There is a quantum Leray-Hirsch Theorem, do to Maulik and Pandharipande here. It relates the Gromov-Witten theory of the projective line bundle to that of the base.

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  • $\begingroup$ Thank you for your answer! What about higher rank? $\endgroup$
    – Maxim
    Commented Aug 2, 2010 at 9:48
  • $\begingroup$ I haven't seen anything, but I stopped reading stuff in this area shortly after reading this paper. I'd recommend emailing Maulik or Pandharipande, they would presumably know if it's been done for higher dimensional bundles. $\endgroup$
    – Charles Siegel
    Commented Aug 2, 2010 at 11:11
  • $\begingroup$ @Charles Siegel But do they provide the Quantum product? $\endgroup$
    – user149914
    Commented May 29, 2020 at 17:17

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